Is there any way to see if a user deleted a folder in a shared resource (we have Active Directory)?
I need to see if someone is removing folders or if they do actually "magically disappear".
I'm sure you should be able to audit the delete events.
In Group Policy audit for Object Access - Success.
Then at the folder you want to trigger the events, set the Audit for successful deletion of files and folders. Here is a website that talks about that.
When a file/folder is deleted, an event log entry will be made. You may have to search through the event log entries to find the specific file/folder of interest.
There's an "inspection" tab in the advanced security properties, though you need to configure group policy in addition to this.